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Finding the Fourth Proportional to 7,589.56, 10,474.62 and 4,447

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Solution

The fourth proportional to 7,589.56, 10,474.62 and 4,447 is: 6,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.56 : 10,474.62 = 4,447 : x
  2. Step 2: Convert to fraction form
    7,589.56/10,474.62 = 4,447/x
  3. Step 3: Cross multiply
    7,589.56x = 10,474.62 × 4,447
  4. Step 4: Simplify right side
    7,589.56x = 46,580,635.14
  5. Step 5: Solve for x
    x = 46,580,635.14/7,589.56
  6. Step 6: Final answer
    x = 6,137.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.